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Finding the Fourth Proportional to 1,483.35, 2,225.34 and 509.55

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Solution

The fourth proportional to 1,483.35, 2,225.34 and 509.55 is: 764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.35 : 2,225.34 = 509.55 : x
  2. Step 2: Convert to fraction form
    1,483.35/2,225.34 = 509.55/x
  3. Step 3: Cross multiply
    1,483.35x = 2,225.34 × 509.55
  4. Step 4: Simplify right side
    1,483.35x = 1,133,922.00
  5. Step 5: Solve for x
    x = 1,133,922.00/1,483.35
  6. Step 6: Final answer
    x = 764.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.